BATH, Maine — A third Frosty’s Donuts is set to open June 1 in the Mid-coast, within walking distance of Bath Iron Works.

Owners Nels and Shelby Omdal have signed an agreement with Webber Energy to purchase the small building at 770 Washington St. that last existed as a convenience store. They will paint it the signature Frosty’s red and have it ready for customers at the beginning of June.

They also purchased new equipment for their shop on Maine Street in Brunswick, where they will make their toothsome edibles to be carted to the Bath shop 10 miles away.

The announcement comes on the heels of last autumn’s new store at 45 Main St., Freeport. It also marks Frosty’s return to the City of Ships. Years ago, Frosty’s operated a shop next to what is now the House of Logan on Front Street.

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“We are definitely going to be open by June 1,” Shelby Omdal said Wednesday. “BIW’s a huge plus, and we hope to see other local people as well. We are super excited about it.”

“We haven’t made a formal announcement,” Omdal said, “but the word has spread. We were buying paint over the weekend at Rogers Hardware and the guy started telling people and I said, ‘The word’s out.’”

Bath Code Enforcement Officer Scott Davis said he has heard the talk.

“There’s a lot of excitement about it,” Davis said. “Everybody’s thrilled that Frosty’s Donuts is coming to Bath.”

The Bath location gives the Omdals the trifecta they were seeking. They have owned Frosty’s for a year-and-a-half.

“From day one when we bought the business, we said we wanted to go to Bath, and we wanted to go to Freeport,” Omdal said.

Frosty’s in Bath will open at 4 a.m. — same as in Brunswick — and stay open until noon or so, or whenever the doughnuts are sold out.

That’s just right for workers changing early-morning shifts at BIW.

On Wednesday, Dan Reaves was in the Bath building, hauling out a piece of old equipment. Reaves, who does contracting work for Frosty’s, said the company will pave the parking lot as soon as repairs to the nearby railroad track are completed in May.

Reaves said he will install counters and coffee space toward the back of the building, and install two windows on the side facing the street so people inside enjoying a coffee and a doughnut can see outside. He also will install new flooring, and some tables will be set up outside, he said.